Coldplay won their fourth best British group trophy, while Foo Fighters were voted best international group.
Bruno Mars took the prize for international male solo artist, and Rihanna won the international female prize for a second year.
The Barbadian singer, who has often been in the news for non-musical reasons since her then-boyfriend Chris Brown attacked her at a pre-Grammy Awards party in 2009, thanked her fans.
"At times when I feel misunderstood, my fans always remind me that it's OK to be myself," she said.
Lana Del Rey appeared moved to be named international breakthrough act.
"This award means much more to me than you know," said the singer, who has gone from Internet-fueled buzz to backlash in record time after a disastrous performance last month on "Saturday Night Live."
Britpop icons Blur received a special prize for their contribution to music.
The four original members — Albarn, Graham Coxon, Alex James and Dave Rowntree — performed together for the first time since a series of concerts in 2009, offering versions of 1990s hits including "Girls & Boys" and "Parklife."
Most of the awards are chosen by more than 1,000 musicians, critics and record industry figures, with several decided by public vote.
Jill Lawless can be reached at: http://twitter.com/JillLawless
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